CALCULUS

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what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?

10
12
14
16
18 ?

  • CALCULUS -

    even without calculus, since this is just a trapezoid with bases 4 and 6, height 2.

    5*2 = 10

    now, using calculus, integrate under the curve, from 1 to 3

    integral[1,3] x+3 dx
    = x^2/2 + 3x [1,3]
    = (9/2 + 9) - (1/2 + 3) = 10

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